find the diameter of the two circles whose radii are 4cm and 3cm respectively and having area equal to the sum of the areas of the circle

Let r₁ and r₂ be the radius of the given circle.

Suppose r is the radius of the circle whose area is equal to the sum of the areas of the circle.

∴ Diameter of the circle = 2r = 2 × 5 cm = 10 cm